What are the solutions to the equation?

Question

What are the solutions to the equation: 4x^2*y^2+z^4+sqrt(3x^2*y-6x^2)+16=7z^2+4xyz

Answer 1

This is one equation in 3 unknowns: x, y and z. There is no one unique solution. (you must have as many equations as unknown plus the equations must not be interdependent).